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Консультация № 137194
17.05.2008, 12:43
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1
во сколько раз ослабляется интенсивность естественного света проходящего через два поляризатора, плоскости пропускания которых образуют угол 60 градусов, если в кождом из них теряется 15% падающего света.
Обсуждение
Неизвестный
17.05.2008, 14:01
общий
это ответ
Здравствуйте, Бас Александр Сергеевич!
Если бы поглощения не было бы, интенсивность естественного света I<sub>0</sub> после прохождения поляризатора:
I<sub>1</sub>=I<sub>0</sub>/2
после прохождения второго поляризатора:
I<sub>2</sub>=I<sub>1</sub>*cos<sup>2</sup>(alpha)=I<sub>0</sub>*cos<sup>2</sup>(alpha)/2, где alpha=60 <sup>o</sup>
Однако вследствие поглощения после прохождения 1-го поляризатора свет будет иметь интенсивность:
I<sub>1</sub>=I<sub>0</sub>*(1-k)/2
где к=0,15 коэффициент поглощения
После прохождения второго поляризатора:
I<sub>2</sub>=I<sub>1</sub>*cos<sup>2</sup>(alpha)*(1-k)=I<sub>0</sub>*cos<sup>2</sup>(alpha)*(1-k)<sup>2</sup>/2
Выражаем искомое отношение I<sub>2</sub>/I<sub>0</sub>:
I<sub>2</sub>/I<sub>0</sub>=cos<sup>2</sup>(alpha)*(1-k)<sup>2</sup>/2=0,09
Если бы поглощения не было бы, интенсивность естественного света I<sub>0</sub> после прохождения поляризатора:
I<sub>1</sub>=I<sub>0</sub>/2
после прохождения второго поляризатора:
I<sub>2</sub>=I<sub>1</sub>*cos<sup>2</sup>(alpha)=I<sub>0</sub>*cos<sup>2</sup>(alpha)/2, где alpha=60 <sup>o</sup>
Однако вследствие поглощения после прохождения 1-го поляризатора свет будет иметь интенсивность:
I<sub>1</sub>=I<sub>0</sub>*(1-k)/2
где к=0,15 коэффициент поглощения
После прохождения второго поляризатора:
I<sub>2</sub>=I<sub>1</sub>*cos<sup>2</sup>(alpha)*(1-k)=I<sub>0</sub>*cos<sup>2</sup>(alpha)*(1-k)<sup>2</sup>/2
Выражаем искомое отношение I<sub>2</sub>/I<sub>0</sub>:
I<sub>2</sub>/I<sub>0</sub>=cos<sup>2</sup>(alpha)*(1-k)<sup>2</sup>/2=0,09
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